KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math: Questions 1 of 172

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» Basic Mathematics » Algebra » Simplifying Expressions

Appeared in Year: 2010

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Question

Let be a differentiable function such that and for some a < b. Then the minimum numbers of roots of in the interval (a, b) is –

Choices

Choice (4) Response

a.

0

b.

1

c.

3

d.

2

Topic iScore

Ques. Time

Answer

d.

Explanation

Since it is given that,

Both are either positive or both are negative.

Also, , Therefore only two roots are possible in interval of (a, b).

Curve f’(0) = 0 with two roots a and b

Curve F’ (0) = 0 With Two Roots a and B

In figure curve f’ (0) = 0 is drown. It clear from figure in the interval (a, b) only two roots are possible.

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